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Simplifying 2ax + b = b + -1a Reorder the terms: 2ax + b = -1a + b Add '-1b' to each side of the equation. 2ax + b + -1b = -1a + b + -1b Combine like terms: b + -1b = 0 2ax + 0 = -1a + b + -1b 2ax = -1a + b + -1b Combine like terms: b + -1b = 0 2ax = -1a + 0 2ax = -1a Solving 2ax = -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. a + 2ax = -1a + a Combine like terms: -1a + a = 0 a + 2ax = 0 Factor out the Greatest Common Factor (GCF), 'a'. a(1 + 2x) = 0Subproblem 1
Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0Subproblem 2
Set the factor '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Add '-2x' to each side of the equation. 2x + -2x = -1 + -2x Combine like terms: 2x + -2x = 0 0 = -1 + -2x Simplifying 0 = -1 + -2x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
a = {0}
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